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Volumn 104, Issue , 1998, Pages 29-50

Local asymptotic stability for dissipative wave systems

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EID: 0032411349     PISSN: 00212172     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02897058     Document Type: Article
Times cited : (29)

References (12)
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  • 2
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    • Recent results on semilinear hyperbolic problems in bounded domains
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    • Haraux, A.1
  • 3
    • 0031333224 scopus 로고    scopus 로고
    • A global nonexistence theorem for quasilinear evolution equations with dissipation
    • in press
    • H. A. Levine and J. Serrin, A global nonexistence theorem for quasilinear evolution equations with dissipation, Archive for Rational Mechanics and Analysis, in press, 1997.
    • (1997) Archive for Rational Mechanics and Analysis
    • Levine, H.A.1    Serrin, J.2
  • 4
    • 0013511772 scopus 로고
    • Decay and stability for nonlinear hyperbolic equations
    • P. Marcati, Decay and stability for nonlinear hyperbolic equations, Journal of Differential Equations 155 (1984), 30-58.
    • (1984) Journal of Differential Equations , vol.155 , pp. 30-58
    • Marcati, P.1
  • 5
    • 0021386195 scopus 로고
    • Stability for second order abstract evolution equations
    • P. Marcati, Stability for second order abstract evolution equations, Nonlinear Analysis 18 (1984), 237-252.
    • (1984) Nonlinear Analysis , vol.18 , pp. 237-252
    • Marcati, P.1
  • 6
    • 0001789255 scopus 로고
    • Asymptotic stability for some nonlinear evolution equations of second order with unbounded dissipative terms
    • M. Nakao, Asymptotic stability for some nonlinear evolution equations of second order with unbounded dissipative terms, Journal of Differential Equations 30 (1978), 54-63.
    • (1978) Journal of Differential Equations , vol.30 , pp. 54-63
    • Nakao, M.1
  • 7
    • 51649189214 scopus 로고
    • Saddle points and instability of nonlinear hyperbolic equations
    • L. E. Payne and D. H. Sattinger, Saddle points and instability of nonlinear hyperbolic equations, Israel Journal of Mathematics 22 (1975), 273-303.
    • (1975) Israel Journal of Mathematics , vol.22 , pp. 273-303
    • Payne, L.E.1    Sattinger, D.H.2
  • 8
    • 0030558010 scopus 로고    scopus 로고
    • Asymptotic stability for non-autonomous dissipative wave systems
    • P. Pucci and J. Serrin, Asymptotic stability for non-autonomous dissipative wave systems, Communications on Pure and Applied Mathematics XLIX (1996), 177-216.
    • (1996) Communications on Pure and Applied Mathematics , vol.49 , pp. 177-216
    • Pucci, P.1    Serrin, J.2
  • 9
    • 85053557044 scopus 로고    scopus 로고
    • Stability for abstract evolution equations
    • Partial Differential Equations and Applications - Collected Papers in Honor of Carlo Pucci (P. Marcellini, G. Talenti and E. Vesentini, eds.), M. Dekker, Inc., New York
    • P. Pucci and J. Serrin, Stability for abstract evolution equations, in Partial Differential Equations and Applications - Collected Papers in Honor of Carlo Pucci (P. Marcellini, G. Talenti and E. Vesentini, eds.), Lectures Notes in Pure and Applied Mathematics, M. Dekker, Inc., New York, 1996, pp. 279-288.
    • (1996) Lectures Notes in Pure and Applied Mathematics , pp. 279-288
    • Pucci, P.1    Serrin, J.2
  • 10
    • 0000282907 scopus 로고
    • Precise damping conditions for global asymptotic stability for nonlinear second order systems
    • P. Pucci and J. Serrin, Precise damping conditions for global asymptotic stability for nonlinear second order systems, Acta Mathematica 170 (1993), 275-307.
    • (1993) Acta Mathematica , vol.170 , pp. 275-307
    • Pucci, P.1    Serrin, J.2
  • 11
    • 21344476181 scopus 로고
    • Asymptotic stability for intermittently controlled nonlinear oscillators
    • P. Pucci and J. Serrin, Asymptotic stability for intermittently controlled nonlinear oscillators, SIAM Journal of Mathematical Analysis 25 (1994), 815-835.
    • (1994) SIAM Journal of Mathematical Analysis , vol.25 , pp. 815-835
    • Pucci, P.1    Serrin, J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.